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The stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays and reaction-diffusion terms
Jie Tan1, Chuandong Li2, Tingwen Huang3
1College of Electronic and Information Engineering, Southwest University, Chongqing, 400715 China ; College of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing, 401331 China.
Abstract:
The global asymptotic stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays and reaction-diffusion terms is investigated. Under some suitable assumptions and using Lyapunov-Krasovskii functional method, we apply the linear matrix inequality technique to propose some new sufficient conditions for the global asymptotic stability of the addressed model in the stochastic sense. The mixed time delays comprise both the time-varying and continuously distributed delays. The effectiveness of the theoretical result is illustrated by a numerical example.
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